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Mechanics

From Newton's Laws to Deterministic Chaos

  • Florian Scheck

Part of the Graduate Texts in Physics book series (GTP)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Florian Scheck
    Pages 1-91
  3. Florian Scheck
    Pages 93-198
  4. Florian Scheck
    Pages 199-256
  5. Florian Scheck
    Pages 257-303
  6. Florian Scheck
    Pages 305-380
  7. Florian Scheck
    Pages 381-446
  8. Florian Scheck
    Pages 447-465
  9. Back Matter
    Pages 467-591

About this book

Introduction

This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks to include dynamical systems and deterministic chaos in due detail. As compared to the previous editions the present 6th edition is updated and revised with more explanations, additional examples and problems with solutions, together with new sections on applications in science.
 
Symmetries and invariance principles, the basic geometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equations of motion follow, to understand the importance of canonical mechanics and of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches of physics.
 
The book contains more than 150 problems with complete solutions, as well as some practical examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook to accompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics.

Keywords

Canonical Mechanics Deterministic Chaos Hamiltonian Mechanics Newton Law Newtons Law Noether Theorem Nonlinear Dynamics Relativistic Mechanics Stability and Chaos Textbook Classical Mechanics Textbook Mechanics

Authors and affiliations

  • Florian Scheck
    • 1
  1. 1.Theoretische Elementarteilchenphysik, Institut für PhysikUniversität MainzMainzGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-55490-6
  • Copyright Information Springer-Verlag GmbH Germany 2018
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-662-55488-3
  • Online ISBN 978-3-662-55490-6
  • Series Print ISSN 1868-4513
  • Series Online ISSN 1868-4521
  • Buy this book on publisher's site
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